Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bb |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
949244901264 = 24 · 32 · 116 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9864,370041] |
[a1,a2,a3,a4,a6] |
Generators |
[7:545:1] |
Generators of the group modulo torsion |
j |
59914169497/535824 |
j-invariant |
L |
4.6237273816443 |
L(r)(E,1)/r! |
Ω |
0.88627635398833 |
Real period |
R |
1.3042566691661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
366e2 |
Quadratic twists by: -11 |